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Finding the Third Proportional to 86,543 and 130,968

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Solution

The third proportional to 86,543 and 130,968 is: 198,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,543 : 130,968 = 130,968 : x
  2. Step 2: Convert to fraction form
    86,543/130,968 = 130,968/x
  3. Step 3: Cross multiply
    86,543x = 130,968 × 130,968
  4. Step 4: Simplify right side
    86,543x = 17,152,617,024
  5. Step 5: Solve for x
    x = 17,152,617,024/86,543
  6. Step 6: Final answer
    x = 198,197.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.